Problem: A. What constant acceleration, in SI units, must a car have to go from zero to 60 mph in 10 s?B. What fraction of g is this?C. How far has the car traveled when it reaches 60 mph? Give your answer both in SI units and in feet.

FREE Expert Solution

A. v₀ = 0 m/s, v_f = 60mph = $\mathbf{60}\mathbf{\left(}\frac{\cancel{{\mathbf{m}}_{\mathbf{i}}}}{\bcancel{\mathbf{h}}}\mathbf{\right)}\mathbf{\left(}\frac{\mathbf{1609}\mathbf{m}}{\mathbf{1}\cancel{{\mathbf{m}}_{\mathbf{i}}}}\mathbf{\right)}\mathbf{\left(}\frac{\mathbf{1}\bcancel{\mathbf{h}}}{\mathbf{3600}\mathbf{s}}\mathbf{\right)}\mathbf{=}\mathbf{26}\mathbf{.}\mathbf{8}\mathbf{m}\mathbf{/}\mathbf{s}$, t = 10s

Using the kinematics equation:

$\boxed{{\mathbf{v}}_{\mathbf{f}}\mathbf{=}{\mathbf{v}}_{\mathbf{0}}\mathbf{+}\mathbf{a}\mathbf{t}}$